Question

Complete the chart.
If the Discriminant is
Positive
Zero
Negative
Previous
Quadratic Equation
What It Tells You About the Equation's
Solutions or Roots
The equation has
choose your answer... real solutions.
The equation has
choose your answer...
real solutions.
The equation has
choose your answer... ^ Jreal solutions.
choose your answer...
2
no
1

Answer 1

Here's the completed chart regarding the discriminant of a quadratic equation:

| Discriminant | Quadratic Equation | What It Tells You About the Equation's Solutions or Roots |
|-------------------|---------------------------|-------------------------------------------------------------------|
| Positive | The equation has **2** real solutions. |
| Zero | The equation has **1** real solution. |
| Negative | The equation has **no** real solutions. |

This chart summarizes how the discriminant indicates the number of real roots for a quadratic equation \( ax^2 + bx + c = 0 \).